Sunderland

On 11 May 2010, Riveros signed for Sunderland on a three-year-deal. He has said "The league is very competitive and I look forward to being very successful with Sunderland. The Premier League is the best league in the world and Sunderland are a very big club with many passionate supporters. I look forward to meeting them." He will link up with Paraguay national team-mate Paulo da Silva.

He made his Premier League debut on the 14th August 2010 against Birmingham City coming on as a sub in the opening game of the season. However, Riveros quickly fell out of favour at Sunderland making just a handful of further appearances. He did however manage to score his first goal for the club on the final day of the season in a 3–0 win over West Ham United.